Question

Cory makes a map of his favorite park, using a coordinate system with units of yards. The old oak tree is at position (3, 7) and the granite boulder is at position (-2, 6). How far apart are the old oak tree and the granite boulder? Round to the nearest tenth if necessary

Answer 1

Answer: 5.09 units

Step-by-step explanation:

Given

Coordinates of Old oak tree are (3,7)

Coordinates of granite boulder are (-2,6)

Distance between them is given by distance formula i.e.

$d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

Distance between them is

$\Rightarrow d=\sqrt{(-2-3)^2+(6-7)^2}\\\Rightarrow d=\sqrt{(-5)^2+(-1)^2}\\\Rightarrow d=\sqrt{25+1}=\sqrt{26}\approx 5.09\ \text{units}$